Abstract: Due to the limitations of the originaldata for a probabilistic reliability model and the fuzzy reliability model, a new non-probabilistic set-based model for structural reliabilityanalysis is proposed, with the uncertain information in structural reliability being described as interval set. Based on the non-probabilistic set-basedstress-strength interference model established in this paper, the ratio ofthe volume of safe region to the total volume of the region constructed bythe basic interval variables is taken as the measure of structuralnon-probabilistic reliability. This kind of measure has a clearermeaning than the allowable maximum amount of uncertainty before structurefailure proposed by Ben-Haim and the minimum distance from theorigin to the failure plane proposed by Guo. Furthermore, thecompatibility of measures between the presented non-probability set-basedreliability model and the probabilistic reliability model is proved.